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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

To meet a U.S. Postal Service requirement, employees’ footwear must have a coefficient of static friction of 0.500 or more on a specified tile surface. A typical athletic shoe has a coefficient of 0.800. In an emergency, what is the minimum time interval in which a person starting from rest can move 3.00 in on the tile surface if she is wearing (a) footwear meeting the Postal Service minimum and (b) a typical athletic shoe?

(a)

To determine
The minimum time interval when the employee wears footwear.

Explanation

Given Info: Co-efficient of static friction ( μs ) is 0.500. The distance to be covered is 3.00 m.

From Newton’s equation, the distance is,

s=ut+12at2 (I)

  • u is the initial velocity.
  • t is the time interval.
  • a is the acceleration.

The normal force balances the weight. The forward force equals the maximum static friction.

N=mg (II)

(Fs)max=ma (III)

The co-efficient of static friction is,

μs=FkN

Divide Equation (III) by (II) and substitute in the above equation.

μs=ag

On Re-arranging,

a=μsg (IV)

Substitute Equation (IV) in (I)

(b)

To determine
The minimum time interval when the employee wears an athlete shoe.

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